{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d689e830",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit import qasm3\n",
    "\n",
    "# .loads() from string, .load() to stream from file\n",
    "circuit = qasm3.loads(\"\"\"\n",
    "  OPENQASM 3.0;\n",
    "  include \"stdgates.inc\";\n",
    "  qubit q;\n",
    "  qubit[3] qr;\n",
    "  bit c;\n",
    "  bit[3] cr;\n",
    "  h q;\n",
    "  c = measure q;\n",
    "  if (c) {\n",
    "    h qr[0];\n",
    "    cx qr[0], qr[1];\n",
    "    cx qr[0], qr[2];\n",
    "  } else {\n",
    "    h qr[2];\n",
    "    cx qr[2], qr[1];\n",
    "    cx qr[2], qr[0];\n",
    "  }\n",
    "  cr = measure qr;\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d3037cfd",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 502.3x491.633 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw(output='mpl', scale=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "249c0a5d",
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1547.39x667.217 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.random import random_circuit\n",
    "qc = random_circuit(5, 10)\n",
    "qc.draw(output='mpl', scale=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8badafb4",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1131.62x1479.92 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.transpiler import CouplingMap, PassManager\n",
    "from qiskit.transpiler.passes import SabreLayout, Unroll3qOrMore\n",
    "\n",
    "coupling_map = CouplingMap([[0, 1], [1, 2], [2, 3], [3, 4]])\n",
    "pm = PassManager([Unroll3qOrMore(), SabreLayout(coupling_map, layout_trials=10)])\n",
    "qc_l = pm.run(qc)\n",
    "qc_l.draw(output='mpl', scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bdae2549",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clifford: Stabilizer = ['+XYZXZ', '+XZZIY', '-ZZYYI', '+IXYZY', '-YZYXY'], Destabilizer = ['-ZXXIZ', '+IYZII', '-IXXXI', '-IXXII', '-IZYIZ']\n"
     ]
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.quantum_info import Clifford, random_clifford\n",
    "from qiskit.synthesis.clifford import synth_clifford_greedy, synth_clifford_layers\n",
    "\n",
    "clifford = random_clifford(5, seed=0)\n",
    "print(clifford)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "865512d4",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 896.248x225.75 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = synth_clifford_greedy(clifford)\n",
    "qc.draw(output='mpl', scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f42d216a",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 478.193x225.75 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = synth_clifford_layers(clifford)\n",
    "qc.draw(output='mpl', scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3ca6edc5",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1105.28x476.583 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.decompose().draw(output='mpl', scale=0.5)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "qiskit (stable)",
   "language": "python",
   "name": "qiskit-stable"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  },
  "rise": {
   "theme": "monokai",
   "transition": "none"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
